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Suppose we have the lottery in Exercise 30. Assume all possible tickets are printed and all tickets are distinct. (a) Compute the probability of winning if one ticket is purchased. (b) Compute the probability of winning if seven tickets are purchased.

Suppose we have the lottery in Exercise 30. Assume all possible tickets are printed and all tickets are distinct. (a) Compute the probability of winning if one ticket is purchased. (b) Compute the probability of winning if seven tickets are purchased.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 84CR
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Suppose we have the lottery in Exercise 30. Assume all possible tickets are printed and all tickets are distinct. (a) Compute the probability of winning if one ticket is purchased. (b) Compute the probability of winning if seven tickets are purchased. 3. Suppose a poker hand (five cards) is dealt from an ordinary deck (52 cards). (a) Compute the probability of the hand containing four aces. (b) Compute the probability of the hand containing four of a kind. 3. Suppose a fair six-sided die (that is, the probability of each side turning up is) is to be rolled. The player will receive an amount of dollars equal to the number of dots that turn up, except when five or six dots turn up, in which case the player will lose $5 or $6, respectively. (a) Compute the expected value of the amount of money the player I will win or lose. (b) If the game is repeated 100 times, compute the most money the player will lose, the most money the player will win, and the amount the player can expect to win or lose. ). Assume we are searching for an element in a list of n distinct elements. What is the average (expected) number of comparisons required when the Sequential Search algorithm (linear search) is used? 1. What is the expected number of movements of elements in a delete operation on an array of n elements?
Transcribed Image Text:Suppose we have the lottery in Exercise 30. Assume all possible tickets are printed and all tickets are distinct. (a) Compute the probability of winning if one ticket is purchased. (b) Compute the probability of winning if seven tickets are purchased. 3. Suppose a poker hand (five cards) is dealt from an ordinary deck (52 cards). (a) Compute the probability of the hand containing four aces. (b) Compute the probability of the hand containing four of a kind. 3. Suppose a fair six-sided die (that is, the probability of each side turning up is) is to be rolled. The player will receive an amount of dollars equal to the number of dots that turn up, except when five or six dots turn up, in which case the player will lose $5 or $6, respectively. (a) Compute the expected value of the amount of money the player I will win or lose. (b) If the game is repeated 100 times, compute the most money the player will lose, the most money the player will win, and the amount the player can expect to win or lose. ). Assume we are searching for an element in a list of n distinct elements. What is the average (expected) number of comparisons required when the Sequential Search algorithm (linear search) is used? 1. What is the expected number of movements of elements in a delete operation on an array of n elements?
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